5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. *+6. a) Find the area of the rectangle as a function of x. (x, y) b) If we know that the rectangle lies in the first quadrant and it has the maximum area, what are its dimensions?

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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6.
a) Find the area of the rectangle as a function of x.
(x, y)
b) If we know that the rectangle lies in the first quadrant and it has the maximum area, what are its dimensions?
Transcribed Image Text:5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. a) Find the area of the rectangle as a function of x. (x, y) b) If we know that the rectangle lies in the first quadrant and it has the maximum area, what are its dimensions?
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